Pith Number

pith:RI3DZP52

pith:1998:RI3DZP52XDGPLNSPRYRS77Z7UZ

not attested not anchored not stored refs pending

Universal variations of Hodge structure and Calabi-Yau Schottky relations

Ziv Ran

arxiv:math/9810048 v1 · 1998-10-08 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RI3DZP52XDGPLNSPRYRS77Z7UZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:05:33.643008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a363cbfbab8ccf5b64f8e232fff3fa67f139420423643ce80899e7974d12ed8

Aliases

arxiv: math/9810048 · arxiv_version: math/9810048v1 · doi: 10.48550/arxiv.math/9810048 · pith_short_12: RI3DZP52XDGP · pith_short_16: RI3DZP52XDGPLNSP · pith_short_8: RI3DZP52

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/RI3DZP52XDGPLNSPRYRS77Z7UZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8a363cbfbab8ccf5b64f8e232fff3fa67f139420423643ce80899e7974d12ed8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce2255d97c311527939ae146c3f0177712af333a176c2e5bd5eb094ddd62a901",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1998-10-08T01:00:10Z",
    "title_canon_sha256": "8f75564f508077888edb57d9892109312f2b3bfee18a24ead15a8c307802715d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9810048",
    "kind": "arxiv",
    "version": 1
  }
}